LMI-Based Robust H2 Controller Design for Damping Oscillations in Power Systems

Abstract

Recent results have shown that several H 2 and H 2-related problems can be formulated as a convex optimization problem involving linear matrix inequalities (LMIs) with a finite number of variables. This paper presents an LMI-based robust H 2 controller design for damping oscillations in power systems. The proposed controller uses full state feedback. The feedback gain matrix is obtained as the solution of a linear matrix inequality. The technique is illustrated with applications to the design of stabilizer for a typical single-machine infinite-bus (SMIB) and a multimachine power system. The LMI based control ensures adequate damping for widely varying system operating conditions and is compared with conventional power system stabilizer (CPSS).

A Robust H2 Output Feedback Controller Design for Damping Power System Oscillations: An LMI Approach

“…The technique described in Section 2 was applied to the design of stabilizer (H2PSS) for the study system. By employing Matlab LMI Control Toolbox (9) to solve the LMIs (15) to (17), we obtain the corresponding feasible solution for the 4 th order controller K from Eqs. (18) to (21) …”

“…One of the advantages of linear matrix inequality (LMI) is mixing the time and frequency domain objectives. An LMI-based controller design for damping power system oscillation has been discussed in several recent papers (10)- (15) . In this paper, we address the problem of robust H 2 controller design for damping power system oscillations.…”

Robust H2 Output Feedback Controller Design for Damping Power System Oscillations

“…With the development of numerical algorithms for solving linear matrix inequality (LMI) problems in the last few years, the LMI approach have emerged as a useful tool for solving a wide variety of control problems [6,7]. An LMI-based controller design for damping power system oscillation has been discussed in several recent papers [8][9][10][11]. In this paper, we consider the design problem of robust H 2 output feedback controller for damping power system oscillations.…”

Multiobjective H2/H∞ Control Design with Regional Pole Constraints

“…Some of those efforts have been contributed to design robust controllers for PSS and/or FACTS devices using H ∞ concept such as mixed-sensitivity [7][8][9][10]; µ -synthesis or structured singular value (SSV) [11] and H 2 norm concept such as LQG [12].…”